13 citations · 38 across the 8 of their papers we have counts for
8 papers
Limit shape for regularisation of large partitions under the Plancherel measure
Salim Rostam
A celebrated result of Kerov-Vershik and Logan-Shepp gives an asymptotic shape for large partitions under the Plancherel measure. We prove that when we consider -regularisations…
Core size of a random partition for the Plancherel measure
Salim Rostam
We prove that the size of the e-core of a partition taken under the Poissonised Plancherel measure converges in distribution to, as the Poisson parameter goes to infinity and after…
Skew cellularity of the Hecke algebras of type
Jun Hu, Andrew Mathas, Salim Rostam
This paper introduces (graded) skew cellular algebras, which generalise Graham and Lehrer's cellular algebras. We show that all of the main results from the theory of cellular alge…
Identifying Young diagrams among residue multisets
Salim Rostam
To any Young diagram we can associate the multiset of residues of all its nodes. This paper is concerned with the inverse problem: given a multiset of elements of Z/eZ, does it com…
Morita equivalences for cyclotomic Hecke algebras of type B and D
Loïc Poulain d'Andecy, Salim Rostam
We give a Morita equivalence theorem for so-called cyclotomic quotients of affine Hecke algebras of type B and D, in the spirit of a classical result of Dipper-Mathas in type A for…
Stuttering blocks of Ariki-Koike algebras
Salim Rostam
We study a shift action defined on multipartitions and on residue multisets of their Young diagrams. We prove that the minimal orbit cardinality among all multipartitions associate…
Cyclotomic quiver Hecke algebras and Hecke algebra of G(r,p,n)
Salim Rostam
Given a quiver automorphism with nice properties, we give a presentation of the fixed subalgebra of the associated cyclotomic quiver Hecke algebra. Generalising an isomorphism of B…
Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras
Salim Rostam
We prove that cyclotomic Yokonuma--Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Bru…